5𝑥 + 1 < 2𝑥 − 5

Sure, let's solve the inequality step by step:

1. The given inequality is 5x + 1 < 2x - 5.

2. To isolate x, we need to get all terms with x on one side of the inequality and the constants on the other side.

3. Subtract 2x from both sides to get: 5x - 2x < -5 - 1, which simplifies to 3x < -6.

4. Finally, divide both sides by 3 to solve for x: x < -6/3, which simplifies to x < -2.

So, the solution to the inequality 5x + 1 < 2x - 5 is x < -2.